3-7[4-(5Y-9)]=

Solution for 3-7[4-(5Y-9)]= equation:

Simplifying
3 + -7[4 + -1(5Y + -9)] = 0

Reorder the terms:
3 + -7[4 + -1(-9 + 5Y)] = 0
3 + -7[4 + (-9 * -1 + 5Y * -1)] = 0
3 + -7[4 + (9 + -5Y)] = 0

Combine like terms: 4 + 9 = 13
3 + -7[13 + -5Y] = 0
3 + [13 * -7 + -5Y * -7] = 0
3 + [-91 + 35Y] = 0

Combine like terms: 3 + -91 = -88
-88 + 35Y = 0

Solving
-88 + 35Y = 0

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '88' to each side of the equation.
-88 + 88 + 35Y = 0 + 88

Combine like terms: -88 + 88 = 0
0 + 35Y = 0 + 88
35Y = 0 + 88

Combine like terms: 0 + 88 = 88
35Y = 88

Divide each side by '35'.
Y = 2.514285714

Simplifying
Y = 2.514285714